£76.00

Higher Order Fourier Analysis (Graduate Studies in Mathematics)

Mathematical Foundations

Price data checked 7 days ago

View at Amazon

Price History & Forecast

Last 84 days • 84 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 84 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £76 (46 days, 54.8%)

Price range: £62 - £76

Price levels: 3 different prices over 84 days

Description

Traditional Fourier analysis, which has been remarkably effective in many contexts, uses linear phase functions to study functions. Some questions, such as problems involving arithmetic progressions, naturally lead to the use of quadratic or higher order phases. Higher order Fourier analysis is a subject that has become very active only recently. Gowers, in groundbreaking work, developed many of the basic concepts of this theory in order to give a new, quantitative proof of Szemerédi's theorem on arithmetic progressions. However, there are also precursors to this theory in Weyl's classical theory of equidistribution, as well as in Furstenberg's structural theory of dynamical systems. This book, which is the first monograph in this area, aims to cover all of these topics in a unified manner, as well as to survey some of the most recent developments, such as the application of the theory to count linear patterns in primes. The book serves as an introduction to the field, giving the beginning graduate student in the subject a high-level overview of the field. The text focuses on the simplest illustrative examples of key results, serving as a companion to the existing literature on the subject. There are numerous exercises with which to test one's knowledge.

Product Specifications

Format: paperback
ASIN: 1470459981
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Foundations
Domain: Amazon UK
Release Date: 30 December 2012
Listed Since: 25 February 2021

Barcode

No barcode data available

Higher Order Fourier Analysis (Graduate Studies in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Higher-order Fourier Analysis and Applications (Foundations and Trends® in Theoretical Computer Science)

Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics)

Fourier Series: A Modern Introduction Volume 1: 64 (Graduate Texts in Mathematics)

Fourier Analysis (Graduate Studies in Mathematics)

Principles of Fourier Analysis (Textbooks in Mathematics)

Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)

A Course in Analytic Number Theory (Graduate Studies in Mathematics)

Introduction to Complex Analysis (Graduate Studies in Mathematics)

Fourier Analysis and Approximation of Functions

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

Fundamentals of Fourier Analysis: 302 (Graduate Texts in Mathematics, 302)

Advanced Analytic Number Theory: L-functions (Mathematical Surveys and Monographs)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups (Mathematical Surveys and Monographs)

Functional Analysis (Graduate Studies in Mathematics)

Invitation to Classical Analysis (Pure and Applied Undergraduate Texts)

Modular Forms: A Classical Approach (Graduate Studies in Mathematics)

Function Theory of One Complex Variable (Graduate Studies in Mathematics)

Orthogonal Series (Translations of Mathematical Monographs)

Laguerre Calculus and Its Applications on the Heisenberg Group (AMS/IP Studies in Advanced Mathematics)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Harmonic and Complex Analysis in Several Variables (Springer Monographs in Mathematics)

Springer An Introduction to Basic Fourier Series - Mathematics 9

The Fourier Transform for Certain HyperKahler Fourfolds (Memoirs of the American Mathematical Society)